42134680 has 64 divisors (see below), whose sum is σ = 112104000. Its totient is φ = 13945344.

The previous prime is 42134671. The next prime is 42134681. The reversal of 42134680 is 8643124.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42134681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5526 + ... + 10714.

It is an arithmetic number, because the mean of its divisors is an integer number (1751625).

Almost surely, 2^42134680 is an apocalyptic number.

42134680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42134680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56052000).

42134680 is an abundant number, since it is smaller than the sum of its proper divisors (69969320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42134680 is a wasteful number, since it uses less digits than its factorization.

42134680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5236 (or 5232 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 42134680 is about 6491.1231693752. The cubic root of 42134680 is about 347.9738166763.

The spelling of 42134680 in words is "forty-two million, one hundred thirty-four thousand, six hundred eighty".